the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.
In a 30°-60°-90° triangle, the ratios of the side lengths are as follows:
- The side opposite the 30° angle is half the length of the hypotenuse.
- The side opposite the 60° angle is √3 times smaller than the hypotenuse.
- The hypotenuse is twice the length of the side opposite the 30° angle.
Let's denote the length of the shortest side as "x" (which is half an inch, i.e., x = 0.5 inches).
Then:
- The side opposite the 30° angle = x = 0.5 inches
- The side opposite the 60° angle = √3 * x = √3/2 inches
- The hypotenuse = 2 * x = 2 * 0.5 inches = 1 inch
So, the lengths of the other two sides in the 30°-60°-90° triangle are approximately √3/2 inches and 1 inch, respectively.
Learn more about triangle here
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What is the value of the expression below?
|3| + |-3| + |-1|
Answer:
7
Step-by-step explanation:
After a number is taken out of the absolute value sign, it becomes positive. Therefore, |3| = 3, |-3| = 3, and |-1| = 1. Adding these up, we get 3 + 3 + 1 = 7
(pls help quick and explain how you got the answers for brainliest)
You only have to apply the theorem of Pythagoras here. Remember the square on the hypotenuse (the longest side) is equal to the sum of the squares on the other two sides :
1. AB is the hypotenuse, so, according to the theorem we can write :
AB² = AC² + CB²
c² = 5² + 4²
c²= 25 + 16
c² = 41
applying the square root of 41 we get :
c ≈ 6.40 rounded to the hundred
The next cases are exactly the same thing so there is no need for explanation :
2.
AB is the hypotenuse here because it is the biggest side clearl :
AB² = AC² + CB²
25² = 15² + b²
Thus
b² = 25² - 15²
we just subtracted 15² on each side of the equation
b² = 625 - 225
b² = 400
applying the square root of 400 we get
b = √400 = 20
So AC = 20
3. The longest side is clearly AB = 60
So
AB² = AC² + CB²
60² = 40² + a²
subtracting 40² on each side of the equation we get :
a² = 60² - 40²
I let you finish this using your calculator and doing exactly like the previous cases
4.
AB is the hypotenuse,
AB² = AC² + CB²
23² = b² + 14²
Subtracting 14² from each side of the equation we get
b² = 23² - 14²
5.
AB is the biggest side :
AB² = AC² + CB²
29² = 23² + a²
We subtract 23² on each sides of the equation :
a² = 29² - 23²
You can finish with your calculator
6.
AB² = AC² + BC²
78² = b² + 30²
subtraction...
b² = 78² - 30²
Good luck :)
5 (m - 3) = 40
What do 5m and m represent?
(Quick Question I NEED REAL QUICK!)
(Thanks)
[tex]5(m -3 ) = 40 \\ = > 5m - 15 = 40 \\ = > 5m = 40 + 15 \\ = > 5m = 55 \\ = > m = 11[/tex]
Therefore, m = 11
5m = 5 × 11 = 55
Answers5m is 55, m is 11.
Hope it helps.
Do comment if you have any query.
Answer:
m=11
5m=55
Step-by-step explanation:
To find the answer to this question, isolate m. Do this by using the properties of equality.
First, distribute the 5 to the terms within the parentheses
5m-15=40Then, add 15 to both sides
5m=55Next, divide both sides by 5
m=11This gives you the solution to both questions. If you want to check the answer, simply plug the variable back in. This gives you, 5(11-3)=40. Once solved this equals 40=40. Therefore, 11 is correct.
The points (0, 0) and (5, 10) lie in the graph of this linear function. Which equation represents the same linear function? A. B. x = 5 C. D. y = 2x
Answer: y = 2x, D.
Step-by-step explanation: We can calculate the slope of the line between these two points: Rise/Run:
Rise: (10-0)=10
Run: (5-0) = 5
Rise/Run = 10/5 = 2
The y-intercept is zero (it is the value of y when x=0, which we are given as (0,0)).
The line between these two points is thus y=2x+0, or
y = 2x. Looks like D.
Answer:
D. y=2x
Step-by-step explanation:
0x2=0 and 5x2=10. That's really it, simple math
favorite food of 100 kapampangan sinigang 27
Solve pls brainliest
Answer:
$13.80
Step-by-step explanation:
69 · 20% = 13.8
Tangela bought 12 cans of sodas for $5.40
Answer:
324
Step-by-step explanation:
Answer:
0.45 for one can of soda
Step-by-step explanation:
If you want to know the price for one soda all you have to do is divde.
12 ÷ 5.40 = 0.45
So, one soda can is $0.45! Have a great day friend! :D
Gina wants to take dance classes. She compares two dance studios to determine which has the best deal for her. Dance World charges a rate for each class. Toe Tappers charges a rate for each class plus a one-time registration fee. The system of equations shown models the total costs for taking x classes at each.
Dance World: y = 15x
Toe Tappers: y = 25 + 12.5x
How many classes would Gina need to take for the total cost to be the same at both dance studios?
10
15
100
150
Answer:
The correct answer is A: 10
Step-by-step explanation:
Same Question : https://brainly.com/question/17110602
-3/4(x+2)=6
What is the answer please explain how u got it
Step-by-step explanation:
1.) distribute (-3/(4x+8)=6)
2.) move 8 (-3/4x=-2)
3.) multiply by 4x (-3= -8x)
4.) divide by -8 (x=2.6)
:)
1 + tan^2 (π/6) = _______.
A. csc^2 (π/6)
B. sec^2 (π/6)
C. cot^2 (π/6)
D. 1 - tan^2 (π/6)
Answer: B??
Step-by-step explanation:
Correc me if i wrong ovo
I need this really quick!!
Answer:
400 ft
Step-by-step explanation:
H = 160t - 16t^2 = 16t(10 - t)
The minimum/maximum of a quadratic function is always exactly in between the 0 points (or any other points with equal value, as a parabole is symmetrical).
Let's solve for H = 0
16t(10-t) = 0
t = 0 or 10 - t = 0
t1 = 0, t2 = 10
the maximum is at (t1+t2)/2 = 5
H(5) = 16*5(10-5) = 80*5 = 400
14. Write an equation for the line in slope-intercept form.
Answer:
y equals -2x plus 8
Step-by-step explanation:
5y - 31
Р
6x - 2y
2y + 5
4x + 4
T
R
S
7x - 17
you take each other you do multiplication and you have answer
Does someone have this answer???? Thank you so much
Answer: 3
Step-by-step explanation:
We know that p(t) = 11:
11=2t+5
11-5=2t
6=2t
6/2 = t
3 = t
Translate the sentence into an inequality.
Twice the difference of a number and 7 is at most 30.
Use the variable w for the unknown number.
Answer:
[tex]2(w-7) < 30[/tex]
Step-by-step explanation:
Twice is translate as multiply by 2The different is the subtraction between [tex]w[/tex] and 7at most 30 is equal to say that can't be greater than 30Combine each step give us the next expression: [tex]2(w-7) < 30[/tex]
Answer:
2w+14<(with the line under the <)30
Step-by-step explanation:
a
What is the equation of the line that passes through the point (3, 2) and has a slope
of 2/3?
Answer:
y=2/3x
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the point (3,2) and has a slope of 2/3
We can write the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
Since we are already given the slope, we can substitute it into the equation as m
y=2/3x+b
Now we need to find b
Since the equation passes through the point (3,2), we can plug its values into the equation to solve for b
Substitute 3 as x and 2 as y into the equation:
2=2/3(3)+b
Multiply
2=2+b
Subtract 2 from both sides
0=b
Substitute 0 as b into the equation
y=2/3x+0
Simplify:
y=2/3x
Hope this helps!
solve pls brainliest
2. Three vertices of a parallelogram are
given as coordinates (-4, 2), (-2, 4), and
(1, -3) in the graph. Which coordinates
best represent the location of the fourth
vertex of the parallelogram?
o
F. (3, 1)
G. (3, -1)
H. (1, -3)
1. (-1,3
HELPP MEEE PLSSS
Answer:
I think g would be correct
Need help on this! Please help
Answer:
PDR= 127
Step-by-step explanation:
16. The measures of the acute angles of a right triangle have a ratio of 2 :7.
What is the measure of the smaller angle?
Answer:
The smaller angle is 20 degrees.
Step-by-step explanation:
A triangle's interior angles must have a sum of 180 degrees. Hence the two acute angles must have a sum of 180-90=90 degrees.
Say that the angles have 2x and 7x length:
2x+7x=90
9x=90
x=10
Hence the acute angles have degrees 2*10=20, 7*10=70.
The smaller angle is 20 degrees.
Hope this was helpful!
witch points has have a distance of 3 units from point S
Sorry, ignore the other question I had on here, that was a typo. How do you find the positive/negative intervals of f(x) = 3/(x + 5) ? Please show in full detail!!
Answer:
Positive interval: x is in (-5, infty)
Negative interval: x is in (-infty, -5)
Step-by-step explanation:
A fraction is positive when the numerator and denominator have the same sign. Since the numerator is positive in this case, the fraction will be positive when it's denominator is also positive. Thus, we need to solve x+5>0. Subtracting 5 on both sides gives x>-5.
Positive interval: x is in (-5, infty)
A fraction is is negative when the numerator and denominator have the different signs. Since the numerator is positive in this case, the fraction will be negative when it's denominator is negative. Thus, we need to solve x+5<0. Subtracting 5 on both sides gives x<-5.
Negative interval: x is in (-infty, -5)
A fraction doesn't have an output when it's denominator is 0. That is, in this case when x+5=0 which is when x is -5.
if i get 1 pack of pepsi bottles 8-pack how much would it be if it i can get 3 for $12.88?
Answer:
38.64
Step-by-step explanation:
If 3 = 12.88
Then Just do 12.88+12.88=25.76 which also equal 6. Then 12.88/2=6.44
so 25.76+6.44+6.44=38.64
Therefore it would be 38.64.
I'm not sure but base on the math above I think the answer is 38.64
help me!
A
B
C
D
E
F
Answer: g
Step-by-step explanation:
I have no clue how to do any of this please help
Answer:
help with what there nothing there?
what do u need help with?
does anyone know this i need it fast
Determine whether the lines are parallel, perpendicular, or neither.
2x+y=6
y=1/2x−7
Answer:
Step-by-step explanation:
2x + y = 6
y = -2x + 6
Comparing this with y = 1/2x - 7
Multiplying the 2 slopes:
-2 * 1/2
= -2/2
= -1
- this means that the 2 lines are perpendicular.
solve pls brainliest
Answer:
Step-by-step explanation:
Simple interest is the agreed upon amount that was first deposited. Even if the depositor leaves his interest in the account, the amount paid is on the account is on the 5000 dollars, not the 5100 it will be at the end of the second year.
i = p * r * t
p = 5000 dollars
r = 2% each year
i = 2/ 100 = 0.02
i = 5000 * 2/100 * 2
i = 200 dollars after 2 years.
( xy-1 )^ 2 - ( y-1 ) ^2
help pleaseeeeeeeeeeee
[tex](xy-1)^2-(y-1)^2\\\\=(xy - 1 - y+1)(xy-1+y-1)~~~~~~;[a^2-b^2 = (a-b)(a+b)]\\\\=(xy-y)(xy+y-2)\\\\=y(x-1)(xy+y-2)[/tex]
I NEED HELP!!!!!!!!!!!!
Answer:
Step-by-step explanation:
123